15420478800 has 480 divisors, whose sum is σ = 54202245120. Its totient is φ = 3735705600.

The previous prime is 15420478747. The next prime is 15420478817. The reversal of 15420478800 is 887402451.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57325066 + ... + 57325334.

It is an arithmetic number, because the mean of its divisors is an integer number (112921344).

Almost surely, 2^15420478800 is an apocalyptic number.

15420478800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15420478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27101122560).

15420478800 is an abundant number, since it is smaller than the sum of its proper divisors (38781766320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15420478800 is a wasteful number, since it uses less digits than its factorization.

15420478800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 15420478800 in words is "fifteen billion, four hundred twenty million, four hundred seventy-eight thousand, eight hundred".